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2002102210122 = 237231499440227
BaseRepresentation
bin11101001000100110100…
…101110100111001001010
321002101202221112012010020
4131020212211310321022
5230300301131210442
64131430354401310
7264434646665400
oct35104645647112
97071687465106
102002102210122
117020a5559423
1228402bb90236
13116a49c471a1
146cc8bb53470
153712c82e9ec
hex1d226974e4a

2002102210122 has 96 divisors (see below), whose sum is σ = 4817855232000. Its totient is φ = 552466020960.

The previous prime is 2002102210111. The next prime is 2002102210169. The reversal of 2002102210122 is 2210122012002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4327773 + ... + 4767999.

It is an arithmetic number, because the mean of its divisors is an integer number (50185992000).

Almost surely, 22002102210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002102210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408927616000).

2002102210122 is an abundant number, since it is smaller than the sum of its proper divisors (2815753021878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002102210122 is a wasteful number, since it uses less digits than its factorization.

2002102210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440776 (or 440769 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002102210122 its reverse (2210122012002), we get a palindrome (4212224222124).

The spelling of 2002102210122 in words is "two trillion, two billion, one hundred two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 499 651 998 1302 1497 1519 2994 3038 3493 4557 6986 9114 10479 15469 20958 24451 30938 46407 48902 73353 92814 108283 146706 216566 324849 440227 649698 757981 880454 1320681 1515962 2273943 2641362 3081589 4547886 6163178 9244767 13647037 18489534 21571123 27294074 40941111 43142246 64713369 81882222 95529259 129426738 191058518 219673273 286587777 439346546 573175554 659019819 668704813 1318039638 1337409626 1537712911 2006114439 3075425822 4012228878 4613138733 6809871463 9226277466 10763990377 13619742926 20429614389 21527980754 32291971131 40859228778 47669100241 64583942262 95338200482 143007300723 286014601446 333683701687 667367403374 1001051105061 2002102210122